82201728 has 128 divisors (see below), whose sum is σ = 254689920. Its totient is φ = 23003136.

The previous prime is 82201727. The next prime is 82201729. The reversal of 82201728 is 82710228.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (82201727) and next prime (82201729).

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 82201695 and 82201704.

It is not an unprimeable number, because it can be changed into a prime (82201727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142176 + ... + 142752.

It is an arithmetic number, because the mean of its divisors is an integer number (1989765).

Almost surely, 2^82201728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82201728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127344960).

82201728 is an abundant number, since it is smaller than the sum of its proper divisors (172488192).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82201728 is a wasteful number, since it uses less digits than its factorization.

82201728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 82201728 is about 9066.5168615075. The cubic root of 82201728 is about 434.8041184396.

The spelling of 82201728 in words is "eighty-two million, two hundred one thousand, seven hundred twenty-eight".